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Simplifying -23 = 4d + -13d + 31 Reorder the terms: -23 = 31 + 4d + -13d Combine like terms: 4d + -13d = -9d -23 = 31 + -9d Solving -23 = 31 + -9d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '9d' to each side of the equation. -23 + 9d = 31 + -9d + 9d Combine like terms: -9d + 9d = 0 -23 + 9d = 31 + 0 -23 + 9d = 31 Add '23' to each side of the equation. -23 + 23 + 9d = 31 + 23 Combine like terms: -23 + 23 = 0 0 + 9d = 31 + 23 9d = 31 + 23 Combine like terms: 31 + 23 = 54 9d = 54 Divide each side by '9'. d = 6 Simplifying d = 6
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